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Home > CC4 > Chapter 8 > Lesson 8.1.6 > Problem 8-84

  1. Determine values for a and b that make each system of equations true (i.e., solve each system). Be sure to show your work or explain your thinking clearly. Homework Help ✎

  2. a.

    6 = a · b0
    24 = a · b2


    32 = a · b2
    128 = a · b3

What is b0 equivalent to?

Once you have the value for a use it to solve for b in second equation.

Solve both equations for a.

Set both equations equal to each other (Equal Values Method), and multiply both sides by the common denominator of both fractions.

Solve for b and substitute b back into one of the original equations to solve for a.

a = 2, b = 4